576/575
Jump to navigation
Jump to search
Ratio | 576/575 |
Subgroup monzo | 2.3.5.23 [6 2 -2 -1⟩ |
Size in cents | 3.0082267¢ |
Name | worcester comma |
Color name | 23ugg1, twethugugu 1sn, Twethugugu comma |
FJS name | [math]\text{d2}_{5,5,23}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} nd) | 18.3373 |
Weil height (log_{2} max(n, d)) | 18.3399 |
Wilson height (sopfr (nd)) | 51 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.28233 bits |
Comma size | unnoticeable |
S-expression | S24 |
open this interval in xen-calc |
576/575, the worcester comma, is a 23-limit superparticular comma of about 3 cents. It is the difference between two 6/5s and 23/16, as well as 24/23 and 25/24. By tempering it out is defined the worcester temperament, which enables the worcester chords.
Etymology
The name worcester was named by Kaiveran in 2023. The reasoning behind the name has unfortunately been forgotten.